The theorem of Halmos and Savage under finite additivity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Cassese, Gianluca¹ 

[1] Univ Milano Bicocca, Milan, Italy

关键词: Lebesgue decomposition;    Halmos-Savage theorem;    Weak compactness;    Yan theorem;   

DOI  :  10.1016/j.jmaa.2016.01.034

来源: Elsevier

【 摘 要 】

We prove an extension to the finitely additive setting of the theorem of Halmos and Savage. From this we deduce extensions of classical results of Drewnowski and of Yan as well as a new characterization of weak compactness in the space of finitely additive set functions. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free